astrophysics: from black holes to the first stars...general theory of relativity (1915-16) •...

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ASTROPHYSICS: From Black Holes to the First Stars (Lecture 1: Introduction) Instructor: Volker Bromm TA: Jarrett Johnson The University of Texas at Austin Astronomy 353 (Spring 2007)

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Page 1: ASTROPHYSICS: From Black Holes to the First Stars...General Theory of Relativity (1915-16) • Principle 2: “Curved space tells matter how to move” • particles move through spacetime

ASTROPHYSICS: From Black Holesto the First Stars

(Lecture 1: Introduction)

Instructor: Volker BrommTA: Jarrett Johnson

The University of Texas at Austin

Astronomy 353

(Spring 2007)

Page 2: ASTROPHYSICS: From Black Holes to the First Stars...General Theory of Relativity (1915-16) • Principle 2: “Curved space tells matter how to move” • particles move through spacetime

Physics of Stellar Remnants

White DwarfsNeutron Stars

Black Holes

~ 10,000 km(àààà Earth)

~ 10 km~ 3 km

Page 3: ASTROPHYSICS: From Black Holes to the First Stars...General Theory of Relativity (1915-16) • Principle 2: “Curved space tells matter how to move” • particles move through spacetime

Quantum Pressure in Stellar Remnants

• often called: ``degeneracy pressure’’

Page 4: ASTROPHYSICS: From Black Holes to the First Stars...General Theory of Relativity (1915-16) • Principle 2: “Curved space tells matter how to move” • particles move through spacetime

How are Compact Objects born?

àààà Brief Overview of Stellar Evolution

Page 5: ASTROPHYSICS: From Black Holes to the First Stars...General Theory of Relativity (1915-16) • Principle 2: “Curved space tells matter how to move” • particles move through spacetime

Supernova (SN) Explosions

• extremely energetic and violent events

SN Remnants (e.g., Crab Nebula)

Page 6: ASTROPHYSICS: From Black Holes to the First Stars...General Theory of Relativity (1915-16) • Principle 2: “Curved space tells matter how to move” • particles move through spacetime

Albert Einstein: Revolutionary of Physics

• 1879 (Ulm) – 1955 (Princeton)

• revolutionized concepts ofspace, time, and gravity- Special Relativity (1905):

à E=mc2

- General Relativity (1915):à new theory of gravity

• co-founder of quantum theoryà photons

Page 7: ASTROPHYSICS: From Black Holes to the First Stars...General Theory of Relativity (1915-16) • Principle 2: “Curved space tells matter how to move” • particles move through spacetime

General Theory of Relativity (1915-16)

• Principle 1: “Matter tells space how to curve”

• matter creates `dimples’ in otherwise flat spacetime!

Page 8: ASTROPHYSICS: From Black Holes to the First Stars...General Theory of Relativity (1915-16) • Principle 2: “Curved space tells matter how to move” • particles move through spacetime

General Theory of Relativity (1915-16)

• Principle 2: “Curved space tells matter how to move”

• particles move through spacetime along paths ofleast resistance (technically: `geodesics’)!

Page 9: ASTROPHYSICS: From Black Holes to the First Stars...General Theory of Relativity (1915-16) • Principle 2: “Curved space tells matter how to move” • particles move through spacetime

General Theory of Relativity (1915-16)

• Einstein’s Field equations:

• a `tensor equation’ à quite complicated(10 coupled non-linear differential equations)

(curvature of space) (matter content)

Page 10: ASTROPHYSICS: From Black Holes to the First Stars...General Theory of Relativity (1915-16) • Principle 2: “Curved space tells matter how to move” • particles move through spacetime

Solving Einstein’s Equations of GR

• 1916: Karl Schwarzschild predicts black holes

Karl Schwarzschild (1873-1916)

`Schwarzschild radius’

Page 11: ASTROPHYSICS: From Black Holes to the First Stars...General Theory of Relativity (1915-16) • Principle 2: “Curved space tells matter how to move” • particles move through spacetime

Gravitational Collapse of Massive Star

• surprising result:for far-away observer,star’s surface `freezes’at event horizon

(i.e., never crosses over)

• however: for observerriding on top of collapsing surface, thisonly takes a finite time!

• Q: How can both perspectives be right?

Page 12: ASTROPHYSICS: From Black Holes to the First Stars...General Theory of Relativity (1915-16) • Principle 2: “Curved space tells matter how to move” • particles move through spacetime

Quantum Mechanics of Black Holes

• Hawking radiation

à Black Holes slowly evaporate!

Page 13: ASTROPHYSICS: From Black Holes to the First Stars...General Theory of Relativity (1915-16) • Principle 2: “Curved space tells matter how to move” • particles move through spacetime

The First Stars

• formed at the end of the `Cosmic Dark Ages’

àààà First stars are predicted to be much more massive thanstars today!

Page 14: ASTROPHYSICS: From Black Holes to the First Stars...General Theory of Relativity (1915-16) • Principle 2: “Curved space tells matter how to move” • particles move through spacetime

The First Supernova-ExplosionGas density

~ 1 kpc

• ESN~1053ergs

• Complete Disruption(PISN)

Page 15: ASTROPHYSICS: From Black Holes to the First Stars...General Theory of Relativity (1915-16) • Principle 2: “Curved space tells matter how to move” • particles move through spacetime

The First Stars• forging the first heavy elements (beyond helium)

à Possibly unique kind of supernova: Pair-instability Supernova

Page 16: ASTROPHYSICS: From Black Holes to the First Stars...General Theory of Relativity (1915-16) • Principle 2: “Curved space tells matter how to move” • particles move through spacetime

COURSE WEBSITE:

www.as.utexas.edu/astronomy/education/spring07/bromm/353.php

• announcments/updates

• lecture notes

• …